Results 11 to 20 of about 581,922 (233)
Joins of subnormal subgroups [PDF]
Illinois Journal of Mathematics, 1965 Derek S. Robinson
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On the residual of a finite group with semi-subnormal subgroups
, 2020 A subgroup A of a group G is called seminormal in G, if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. We introduce the new concept that unites subnormality and seminormality.
A. A. Trofimuk
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A study on the structure of finite groups with $c$-subnormal subgroups [PDF]
International Journal of Group Theory, 2023 In this paper, we use the definition of the concept ``c-Subnormal Subgroup" to study the structure of a given finite group $G$ which contains some $c-$subnormal subgroups. We prove two main theorems, which answer the question of what conditions must hold
Jehad Al Jaraden, Dana Jaraden
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On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup [PDF]
International Journal of Group Theory, 2022 We study soluble groups $G$ in which each subnormal subgroup $H$ with infinite rank is commensurable with a normal subgroup, i.e. there exists a normal subgroup $N$ such that $H\cap N$ has finite index in both $H$ and $N$.
Ulderico Dardano, Fausto De Mari
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Groups with Subnormal Deviation
Mathematics, 2023 The structure of groups which are rich in subnormal subgroups has been investigated by several authors. Here, we prove that if a periodic soluble group G has subnormal deviation, which means that the set of its non-subnormal subgroups satisfies a very ...
Francesco de Giovanni +2 more
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A note on locally soluble almost subnormal subgroups in divsion rings [PDF]
International Journal of Group Theory, 2021 Let $D$ be a division ring with center $F$ and assume that $N$ is a locally soluble almost subnormal subgroup of the multiplicative group $D^*$ of $D$. We prove that if $N$ is algebraic over $F$, then $N$ is central.
Truong Huu Dung
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On the Supersoluble Residual of a Product of Supersoluble Subgroups [PDF]
Advances in Group Theory and Applications, 2020 Let P be the set of all primes. A subgroup H of a group G is called P-subnormal in G, if either H = G, or there exists a chain of subgroups H = H_0 \leq H_1 \leq ... \leq H_n = G, with |H_i : H_{i-1}| \in P for all i.
Victor S. Monakhov +1 more
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On pairs of antagonistic subgroups and theirs influence on the structure of groups [PDF]
International Journal of Group Theory, 2023 In this survey we collect some results on the influence on the structure of a group of some families of its subgroups satisfying conditions related to normality. In particular we focus on groups whose subgroups have two antagonistic properties.
Leonid Kurdachenko +3 more
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Groups in which all Subgroups are Subnormal-by-Finite [PDF]
Advances in Group Theory and Applications, 2016 We prove that a locally finite group G in which every subgroup is a finite extension of a subnormal subgroup of G is nilpotent-by-\v Cernikov.
Carlo Casolo
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Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov
Open Mathematics, 2012 Cutolo Giovanni, Smith Howard
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